73884888 has 96 divisors (see below), whose sum is σ = 249500160. Its totient is φ = 19189440.

The previous prime is 73884883. The next prime is 73884929. The reversal of 73884888 is 88848837.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73884883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1120 + ... + 12207.

It is an arithmetic number, because the mean of its divisors is an integer number (2598960).

Almost surely, 2^73884888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73884888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124750080).

73884888 is an abundant number, since it is smaller than the sum of its proper divisors (175615272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73884888 is a wasteful number, since it uses less digits than its factorization.

73884888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13357 (or 13350 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The square root of 73884888 is about 8595.6319139433. The cubic root of 73884888 is about 419.6158392035.

The spelling of 73884888 in words is "seventy-three million, eight hundred eighty-four thousand, eight hundred eighty-eight".